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Finding the Fourth Proportional to 2,769.54, 4,154.28 and 689.51

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Solution

The fourth proportional to 2,769.54, 4,154.28 and 689.51 is: 1,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.54 : 4,154.28 = 689.51 : x
  2. Step 2: Convert to fraction form
    2,769.54/4,154.28 = 689.51/x
  3. Step 3: Cross multiply
    2,769.54x = 4,154.28 × 689.51
  4. Step 4: Simplify right side
    2,769.54x = 2,864,396.83
  5. Step 5: Solve for x
    x = 2,864,396.83/2,769.54
  6. Step 6: Final answer
    x = 1,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.